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Finding the Fourth Proportional to 159,202.82, 219,698.28 and 87,582.98

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Solution

The fourth proportional to 159,202.82, 219,698.28 and 87,582.98 is: 120,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,202.82 : 219,698.28 = 87,582.98 : x
  2. Step 2: Convert to fraction form
    159,202.82/219,698.28 = 87,582.98/x
  3. Step 3: Cross multiply
    159,202.82x = 219,698.28 × 87,582.98
  4. Step 4: Simplify right side
    159,202.82x = 19,241,830,063.27
  5. Step 5: Solve for x
    x = 19,241,830,063.27/159,202.82
  6. Step 6: Final answer
    x = 120,863.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.